Photographer unknown. Distributor also unknown; probably either Spike Jones or his record label, RCA Victor.
Attribution / Credit
*Original source: The portrait was circulated as a publicity photo in the 1940s. A digitized copy can be seen online at University of Missouri–Kansas City (UMKC) Digital Special Collections. Original copies have been sold at Heritage Auctions (also here) and Etsy.
Instant source: Reproduced on page 7 of Spike Jones and his City Slickers: An Illustrated Biography (1982) by Jordan R. Young, Accessed via the Internet Archive. Retouched by uploader; see upload history below for unretouched image.